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Finding the Third Proportional to 120,811.50 and 261,533.81

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Solution

The third proportional to 120,811.50 and 261,533.81 is: 566,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,811.50 : 261,533.81 = 261,533.81 : x
  2. Step 2: Convert to fraction form
    120,811.50/261,533.81 = 261,533.81/x
  3. Step 3: Cross multiply
    120,811.50x = 261,533.81 × 261,533.81
  4. Step 4: Simplify right side
    120,811.50x = 68,399,935,080.79
  5. Step 5: Solve for x
    x = 68,399,935,080.79/120,811.50
  6. Step 6: Final answer
    x = 566,170.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.